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Finding the Fourth Proportional to 2,952.64, 4,428.91 and 761.34

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Solution

The fourth proportional to 2,952.64, 4,428.91 and 761.34 is: 1,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.64 : 4,428.91 = 761.34 : x
  2. Step 2: Convert to fraction form
    2,952.64/4,428.91 = 761.34/x
  3. Step 3: Cross multiply
    2,952.64x = 4,428.91 × 761.34
  4. Step 4: Simplify right side
    2,952.64x = 3,371,906.34
  5. Step 5: Solve for x
    x = 3,371,906.34/2,952.64
  6. Step 6: Final answer
    x = 1,142.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.